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Finding the Fourth Proportional to 21,758.16, 30,026.12 and 11,822.16

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Solution

The fourth proportional to 21,758.16, 30,026.12 and 11,822.16 is: 16,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.16 : 30,026.12 = 11,822.16 : x
  2. Step 2: Convert to fraction form
    21,758.16/30,026.12 = 11,822.16/x
  3. Step 3: Cross multiply
    21,758.16x = 30,026.12 × 11,822.16
  4. Step 4: Simplify right side
    21,758.16x = 354,973,594.82
  5. Step 5: Solve for x
    x = 354,973,594.82/21,758.16
  6. Step 6: Final answer
    x = 16,314.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.